Recursive --> Explicit & Back

Given the recursive formula, find the explicit form
a_n = a_n-1 - 5
a₁ = 22

• a_n = 22 + (n-1)(-5)
• a_n = 22 + (n-1)(5)
• a_n = -5 + (n-1)(22)
• a_n = -16 + (n-1)(-5)

Given the recursive formula, find the explicit form
a_n = a_n-1 + 5
a₁ = -16

• a_n = 5 + (n-1)(-16)
• a_n = -11 + (n-1)(5)
• a_n = 16 + (n-1)(5)
• a_n = -16 + (n-1)(5)

What is the next term in the series? 15, 35, 55...

• 55
• 15
• 32
• 75

What is the 7th term in the series? 15, 35, 55...

• 155
• 135
• 132
• 75

What is the recursive equation for this function?

• f(0) = 5
  f(x) = f(x-1) - 2
• f(0) = 5
  f(x) = f(x-1) + 2
• f(0) = 5
  f(x) = f(x-1) - 3  
• f(0) = 5
  f(x) = f(x-1) + 3 

Write a Next/Now rule for the table.

• Next=Now + 6 Starting at 2
• Next=Now + 6 Starting at 0
• Next=Now × 4 Starting at 2
• Next=Now × 4 Starting at 0

Write a Next/Now rule for the table.

• Next=Now + 4 Starting at 2
• Next=Now + 4 Starting at 0
• Next=Now × 3 Starting at 2
• Next=Now × 3 Starting at 0

Write a Next/Now rule for the table

• Next=Now - 16 Starting at 32
• Next=Now - 16 Starting at 0
• Next=Now ÷ 4 Starting at 0
• Next=Now × ½ Starting at 32

Write the recursive formula of
a_n = 13 + (n-1)(-4)

• a₁ = 13
  a_n=a_n-1-4
• a₁ = 13
  a_n=a_n-1+4
• a₁ = 17
  a_n=a_n-1-4
• a₁ = -4
  a_n=a_n-1+13